Question

A trough is 2 feet long and 1 foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of y=x^{4} from x=−1 to x=1. The trough is full of
water. Find the amount of work in foot-pounds required to empty the
trough by pumping the water over the top. Note: In this problem,
use 62 pounds per cubic foot as the weight of water.

A trough is 3 feet long and 1 foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of y=x^{10}, from x=-1 to x=1.The trough is full of
water. Find the amount of work in foot-pounds required to empty the
trough by pumping the water over the top. Note: In this problem,
use 62 pounds per cubic foot as the weight of water.

Thank you so much.

Answer #1

A trough is 4 feet long and 11 foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of y=x^8 from x=−1 to x=1. The trough is full of water. Find
the amount of work required to empty the trough by pumping the
water over the top. Note: The weight of water is 62 pounds per
cubic foot. Your answer must include the correct units.

(1 point) A trough is 6 feet long and 1 foot high. The vertical
cross-section of the trough parallel to an end is shaped like the
graph of ?=?6y=x6 from ?=−1x=−1 to ?=1x=1 . The trough is full of
water. Find the amount of work in foot-pounds required to empty the
trough by pumping the water over the top. Note: The weight of water
is 6262 pounds per cubic foot.

A trough is 10 meters long, 3 meters wide, and 4 meters deep.
The vertical cross-section of the trough parallel to an end is
shaped like an isosceles triangle (with height 4 meters, and base,
on top, of length 3 meters). The trough is full of water (density
1000kg/m^3). Find the amount of work in joules required to empty
the trough by pumping the water over the top. (Note: Use g=9.8ms^2
as the acceleration due to gravity.)

A trough is 9 meters long, 2 meters wide, and 3 meters deep.
The vertical cross-section of the trough parallel to an end is
shaped like an isoceles triangle (with height 3 meters, and base,
on top, of length 2 meters). The trough is full of water (density
1000
kg
m
3
1000
kg
m
3
). Find the amount of work in joules required to empty the
trough by pumping the water over the top. (Note: Use
g
=...

A water trough is 9 feet long, and its cross section is an
equilateral triangle with sides 4 feet long. Water is pumped into
the trough at a rate of 2 cubic feet per second. How fast is the
water level rising when the depth of the water is 1/2 foot?
( Hint: First, what is the height h of an equilateral
triangle of side length s? Next, what is the area of an equilateral
triangle in terms of the...

a trough 9 m long, 2 m wide, 1m deep. vertical crosssection of
the parallele to end is shaped like an isoceles triangle( height
1m, base and top, of lenght 2m) the trough denity 1000kg/m^3. Find
work in joules require to empty out the trough by pumping the water
over the top. g=9.8

A 6-meter-long trough with a right triangular cross section as
shown is partially filled with a fluid of weight density 9000
newtons per cubic meter. If the level of the fluid is 1 meter below
the top of the rim of the trough, find the work done in pumping all
the fluid out of the tank.

A water trough has a semi circular cross-section with radius of
1 m and a length of 3 m. Whats the work required to empty the
trough over the top. Water density =62.4lb/ft^3

A tank of water is 15 feet long and has a cross section in the
shape of an equilateral triangle with sides 2 feet long (point of
the triangle points directly down). The tank is filled with water
to a depth of 9 inches. Determine the amount of work needed to pump
all of the water to the top of the tank. Assume that the density of
water is 62 lb/ft3.

1. A trough in the shape of a box holds water, with base
dimensions 10 feet long by 4 feet wide. The water level starts 7
feet high in this box, and there is a circular hole in the bottom
of the box with radius 2 inches. Assume that time, t, represents
seconds from when it was filled to exactly 7 feet high, and let y
represent the current height of the water in the trough.
a. What is the...

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